I’ll watch, but with a jaundiced eye I reserve for any program Discovery does which touches on the Christian faith.
You might enjoy doing some homework before the program - if you aren't already familiar with the history and evidence concerning The Shroud.
As a portrait artist, I have studied The Shroud, for over 40 years, from the art angle. The many iconic paintings that were done for the churches, pre-dating what many would like to think about The Shroud, provide a strong testament. (Many iconic paintings were ordered destroyed, but many escaped.)
My favorite is the 6th Century Pantocrator. Here are some great links to start with:
(Remember - the painting was done in the 500’s)
http://www.shroudofturin4journalists.com/pantocrator.htm
http://www.travelpod.com/travel-photo/eric/israel_1975-76/206254740/ms15.jpg/tpod.html
and this is Barrie Schwortz’s Shroud Web site. He was one of the original examiners in 1978. I have corresponded with him for years. He started out as a skeptic.